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Finding the Third Proportional to 296,230 and 458,819

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Solution

The third proportional to 296,230 and 458,819 is: 710,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,230 : 458,819 = 458,819 : x
  2. Step 2: Convert to fraction form
    296,230/458,819 = 458,819/x
  3. Step 3: Cross multiply
    296,230x = 458,819 × 458,819
  4. Step 4: Simplify right side
    296,230x = 210,514,874,761
  5. Step 5: Solve for x
    x = 210,514,874,761/296,230
  6. Step 6: Final answer
    x = 710,646.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.